A Graphical Approach for Hybrid Simulation of 3D Diffusion Bio-Models via Coloured Hybrid Petri Nets

Figure 1

An illustration of diffusion in 3D space. (a) Six neighbours for a species at the index in the form: or . (b) The 26 neighbours due to one of their faces, corners, or edges: , or . (c) implementation of 3D diffusion. (d) The corresponding colour definitions of the in (c). is a Boolean function specifying the neighbourhood relation of any two components in 3D space according to (a) or (b).

(a)

(b)

(c)

(d)